SOLUTION: rationalize the denominator: sqrt 2 divided by sqrt 6

SOLUTION: rationalize the denominator: sqrt 2 divided by sqrt 6 - sqrt 3

Question 151059: rationalize the denominator:
sqrt 2 divided by sqrt 6 - sqrt 3
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression.

Take note that the conjugate of the denominator is . If we multiply the fraction by , this will eliminate the square roots in the denominator

Multiply the fraction by

Combine the fractions.

Foil the denominator to get

Distribute

Combine and multiply the square roots.

Simplify the square root.

So after rationalizing the denominator, the expression simplifies to

In other words,
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